also:
alphabet street - jesus & mary chain
a day in the life - the fall
beatle bones 'n smokin' stones - the fall
ferry cross the mersey - frankie goes to hollywood
you've lost that loving feeling - human league
opel - flaming lips
by the time i get to phoenix - nick cave

The Ciccone youth covers are great.
Elliott Smith could have covered Razorlight and made it sound good, so anything he did - Jealous Guy, Thirteen, and more
Johnny Cash of course, everyone says it because its true
The Manic Street Preachers have a good line in covers too